Bayesian Life Test Planning for Log-Location-Scale Family of Distributions

References

• Adcock, C. J. (1997). “The Choice of Sample Size and the Method of Maximum Expected Utility–Comments on the Paper by Lindley”. The Statistician 46, pp. 155–162.
   Google Scholar
• Berger, J. O. (1985). Statistical Decision Theory and Bayesian Analysis. New York, NY: Springer-Verlag.
   Google Scholar
• Chaloner, K. and Larntz, K. (1989). “Optimal Bayesian Designs Applied to Logistic Regression Experiments”. Journal of Statistical Planning and Inference 21, pp. 191–208.
   Web of Science ®Google Scholar
• Clyde, M.; Müller, P.; and Parmigiani, G. (1995). “Optimal Design for Heart Defibrillators”. In Case Studies in Bayesian Statistics, Gatsonis, C.; Hodges, J.; Kass, R. E.; and Singpurwalla, N., eds., 2nd edition. New York, NY: Springer.
   Google Scholar
• Danziger, L. (1970). “Planning Censored Life Tests for Estimation of the Hazard Rate of a Weibull Distribution with Prescribed Precision”. Technometrics 12, pp. 408–412.
   Web of Science ®Google Scholar
• Escobar, L. A. and Meeker, W. Q. (1994). “Algorithm AS 292: Fisher Information Matrix for the Extreme Value, Normal and Logistic Distributions and Censored Data”. Applied Statistics 43, pp. 533–554.
   Web of Science ®Google Scholar
• Etzione, R. and Kadane, J. B. (1993). “Optimal Experimental Design for Another's Analysis”. Journal of the American Statistical Association 88, pp. 1404–1411.
   Google Scholar
• Gelman, A.; Carlin, J. B.; Stern, H. S.; and Rubin, D. B. (1995). Bayesian Data Analysis. Boca Raton, FL: Chapman and Hall/CRC Press LLC.
   Google Scholar
• Grubbs, F. E. (1973). “Determination of Number of Failures to Control Risks of Erroneous Judgements in Exponential Life Testing”. Technometrics 15, pp. 191–193.
   Google Scholar
• Gupta, S. S. (1962). “Life Test Sampling Plans for Normal and Lognormal Distributions”. Technometrics 4, pp. 151–175.
   Web of Science ®Google Scholar
• Hamada, M. S.; Wilson, A.; Reese, C. S.; and Martz, H. (2008). Bayesian Reliability. New York, NY: Springer.
   Google Scholar
• Hong, Y.; Ma, H.; and Meeker, W. Q. (2010). “A Tool for Evaluating Time-Varying-Stress Accelerated Life Test Plans with Log-Location-Scale Distributions”. IEEE Transactions on Reliability 59, pp. 620–627.
   Web of Science ®Google Scholar
• Joseph, L. and Wolfson, D. B. (1997). “Interval-Based versus Decision-Theoretic Criteria for the Choice of Sample Size”. The Statistician 46, pp. 145–149.
   Google Scholar
• Joseph, L.; Wolfson, D. B.; and du Berger, R. (1995a). “Sample Size Calculations for Binomial Proportions Via Highest Posterior Density Intervals”. The Statistician 44, pp. 143–154.
   Google Scholar
• Joseph, L.; Wolfson, D. B.; and du Berger, R. (1995b). “Some Comments on Bayesian Sample Size Determination”. The Statistician 44, pp. 167–171.
   Google Scholar
• Kundu, D. (2008). “Bayesian Inference and Life Testing Plan for the Weibull Distribution in Presence of Progressive Censoring”. Technometrics 50, pp. 144–154.
   Web of Science ®Google Scholar
• Li, M. and Meeker, W. Q. (2014). “Application of Bayesian Methods in Reliability Data Analyses”. Journal of Quality Technology 46, pp. 1–23.
   Web of Science ®Google Scholar
• Lindley, D. V. (1997). “The Choice of Sample Size”. The Statistician 46, pp. 129–138.
   Google Scholar
• Meeker, W. Q. and Escobar, L. A. (1998). Statistical Methods for Reliability Data. New York, NY: John Wiley & Sons, Inc.
   Google Scholar
• Meeker, W. Q.; Escobar, L. A.; and Hill, D. A. (1992). “Sample Sizes for Estimating the Weibull Hazard Function from Censored Samples”. IEEE Transactions on Reliability 41, pp. 133–138.
   Web of Science ®Google Scholar
• Meeker, W. Q. and Nelson, W. (1976). “Weibull Percentile Estimates and Confidence Limits from Singly Censored Data by Maximum Likelihood”. IEEE Transactions on Reliability R-25, pp. 20–24.
   Google Scholar
• Meeker, W. Q. and Nelson, W. (1977). “Weibull Variances and Confidence Limits by Maximum Likelihood for Singly Censored Data”. Technometrics 19, pp. 473–476.
   Web of Science ®Google Scholar
• Narula, S. C. and Li, F. S. (1975). “Sample Size Calculations in Exponential Life Testing”. Technometrics 17, pp. 229–231.
   Google Scholar
• Nelson, W. (1990). Accelerated Testing: Statistical Models, Test Plans, and Data Analyses. New York, NY: John Wiley & Sons. Republished in paperback in the Wiley Series in Probability and Statistics, 2004.
   Google Scholar
• Pascual, F. G. and Meeker, W. Q. (1998). “The Modified Sudden Death Test: Planning Life Tests with a Limited Number of Test Positions”. Journal of Testing and Evaluation 26, pp. 434–443.
   Web of Science ®Google Scholar
• Pham-Gia, T. (1997). “On Bayesian Analysis, Bayesian Decision Theory and the Sample Size Problem”. The Statistician 46, pp. 139–144.
   Google Scholar
• Polson, N. G. (1993). “A Bayesian Perspective on the Design of Accelerated Life Tests”. In Advances in Reliability, Basu, A. P., ed. New York, NY: Elsevier.
   Google Scholar
• Shi, Y. and Meeker, W. Q. (2012). “Bayesian Methods for Accelerated Destructive Degradation Test Planning”. IEEE Transactions on Reliability 61, pp. 245–253.
   Web of Science ®Google Scholar
• Suzuki, K.; Nakamoto, T.; and Matsuo, Y. (2010). “Optimum Specimen Sizes and Sample Allocation for Estimating Weibull Shape Parameters for Two Competing Failure Modes”. Technometrics 52, pp. 209–220.
   Web of Science ®Google Scholar
• Tang, L. C. and Liu, X. (2010). “Planning and Inference for a Sequential Accelerated Life Test”. Journal of Quality Technology 42, pp. 103–118.
   Web of Science ®Google Scholar
• Thyregod, P. (1975). “Bayesian Single Sampling Plans for Life-Testing with Truncation of the Number of Failures”. Scandinavian Journal of Statistics 2, pp. 61–70.
   Google Scholar
• Tsutakawa, R. K. (1972). “Design of an Experiment for Bioassay”. Journal of the American Statistical Association 67, pp. 584–590.
   Web of Science ®Google Scholar
• Zaher, A. M.; Ismail, M. A.; and Bahaa, M. S. (1996). “Bayesian Type I Censored Designs for the Weibull Lifetime Model: Information Based Criterion”. Egyptian Statistical Journal 40, pp. 127–150.
   Google Scholar
• Zhang, Y. and Meeker, W. Q. (2005). “Bayesian Life Test Planning for the Weibull Distribution with Given Shape Parameter”. Metrika 61, pp. 237–249.
   Web of Science ®Google Scholar
• Zhang, Y. and Meeker, W. Q. (2006). “Bayesian Methods for Planning Accelerated Life Tests”. Technometrics 48, pp. 49–60.
   Web of Science ®Google Scholar